LCM of 107, 210, 861, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 210, 861, 204 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 107, 210, 861, 204. So, keep reading to learn more.
Given numbers are 107,210,861,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,210,861,204 is 31323180.
Find LCM of 107,210,861,204 with Prime Factorization
| 2 | 107, 210, 861, 204 |
| 3 | 107, 105, 861, 102 |
| 7 | 107, 35, 287, 34 |
| 107, 5, 41, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 107 x 5 x 41 x 34 = 31323180
Therefore, the lowest common multiple of 107,210,861,204 is 31323180.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
107 x 210 x 861 x 204 = 3946720680
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
107 : 1, 107
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
861 : 1, 3, 7, 21, 41, 123, 287, 861
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,210,861,204, is 1.
Now, the common factors can be found like this.
107:107
210:2x 3x 5x 7
861:3x 7x 41
204:2x 2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 3946720680/(1x126)
LCM = 3946720680/126
LCM = 31323180
Thus, we can understand that the LCM of 107,210,861,204 is 31323180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 107, 210, 861, 204
1. What is the LCM of 107, 210, 861, 204?
Answer: LCM of 107, 210, 861, 204 is 31323180.
2. How to calculate the LCM of 107, 210, 861, 204?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 107, 210, 861, 204.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.